From Matrices to Strings and Back

Abstract

We discuss an explicit construction of a string dual for the Gaussian matrix model. Starting from the matrix model and employing Strebel differential techniques we deduce hints about the structure of the dual string. Next, following these hints a worldheet theory is constructed. The correlators in this string theory are assumed to localize on a finite set of points in the moduli space of Riemann surfaces. To each such point one associates a Feynman diagram contributing to the correlator in the dual matrix model, and thus recasts the worldsheet expression as a sum over Feynman diagrams.

27 pages, 3 figures

References in corpus (5)

• Diagrams for Symmetric Product Orbifolds
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• On the worldsheet theories of strings dual to free large N gauge theories
• A New Limit of the AdS_5 x S^5 Sigma Model
• Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter

Cited by in corpus (5)

• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$
• Correlators in the Simplest Gauge-String Duality
• Complex matrix model duality
• Topological String Correlators from Matrix Models
• Multi-trace Correlators from Permutations as Moduli Space